Key Concepts
*Use a graphing calculator to make a conjecture about a parabola when the function is written in the form below:
y = (x ­ p)(x ­ q)
*Consider these functions to make your conjecture:
y = (x ­ 2)(x + 3)
y = (x + 5)(x ­ 1)
y = (x ­ 6 )(x ­ 3)
y = (x + 1)(x + 4)
*What conclusions can you make?
Key Concepts
*The graph of a quadratic function will form a "U" shape.
*There are 3 forms of quadratic functions:
­Vertex Form: y = a(x ­ h)2 + k
­Standard Form: y = ax2 + bx + c
­Intercepts Form: y = a(x ­ p)(x ­ q)
Guided Practice
Ex 1: Graph each quadratic function in Intercepts Form.
a)
y = (x ­ 3)(x ­ 5)
b)
y = 2(x ­ 3)(x + 8)
c)
y = ­(1/2)(x ­ 1)(x + 3)
On Your Own
Ex 1: Graph the function.
a)
y = ­(x + 2)(x ­ 4) Homework
Intercept Form Worksheet